Write a real-life problem that involves dividing a decimal by a whole number
A real-life problem that involves dividing a decimal by a whole number is calculating the average score of a student in a class.
Explanation:A real-life problem that involves dividing a decimal by a whole number is calculating the average score of a student in a class. For example, if a student scores 85.4, 72.6, 90.2, and 65.3 on four tests, we can divide the sum of these scores (313.5) by the total number of tests (4) to find the average score (78.375). This demonstrates the division of a decimal (313.5) by a whole number (4) to find a real-life result.
Mario took clothes to the cleaners three times last month. first, he brought 3 shorts and 1pair of slacks and $10.96. then, he brought 7 shirts, 2 pairs of slacks, and a sports coat and paid $30.40. finally, he brought 4 shirts and 1 sports coat and paid$14.45. How much was he charged for each shirt, each pair of slacks, and each sports coat.
Each shirt costs approximately $0.66, each pair of slacks costs approximately $8.97, and each sports coat costs approximately $11.80.
Explanation:To find the cost of each item, we need to solve a system of equations. Let x be the cost of each shirt, y be the cost of each pair of slacks, and z be the cost of each sports coat. From the given information, we can set up the following equations:
3x + y = 10.96
7x + 2y + z = 30.40
4x + z = 14.45
Now, we can solve the system of equations using any method of our choice. Let's use the method of substitution:
From equation 1, we can solve for y: y = 10.96 - 3x.
Substituting this value of y into equation 2, we get: 7x + 2(10.96 - 3x) + z = 30.40.
Simplifying and rearranging this equation gives us: -5x + z = 8.48.
Now, we can solve for z in terms of x from equation 3: z = 14.45 - 4x.
Substituting this value of z into the equation we obtained earlier, we get: -5x + (14.45 - 4x) = 8.48.
Simplifying and rearranging this equation gives us: -9x + 14.45 = 8.48.
Now, we can solve for x:
-9x = 8.48 - 14.45
-9x = -5.97
x = -5.97 / -9
x = 0.6633
Therefore, each shirt costs approximately $0.66.
Now that we know the value of x, we can substitute it back into equation 3 to find the cost of each sports coat:
z = 14.45 - 4(0.6633)
z = 14.45 - 2.6532
z = 11.7968
Therefore, each sports coat costs approximately $11.80.
Finally, we can substitute the values of x and z into equation 1 to find the cost of each pair of slacks:
3(0.6633) + y = 10.96
1.99 + y = 10.96
y = 10.96 - 1.99
y = 8.97
Therefore, each pair of slacks costs approximately $8.97.
n a random sample of 75 individuals, 52 people said they prefer coffee to tea. 99.7% of the population mean is between
You work 40 hours a week at a furniture store. You receive a $250 weekly salary, plus a 5% commission on sales over $2000. Assume that you sell enough this week to get the commission. Given the functions f(x) = 0.05x and g(x) = x - 2000, which of the following represents your commission?
PLESE HELP Paul is gathering data about moss growth in a local forest. He measured an area of 11 square centimeters on one particular tree and will come back in 6 months to measure the growth of the moss. If the area covered by moss multiplies by one and a half times each month, approximately how much area will the moss cover when Paul returns
14.7 cm2
99.1 cm2
125.3 cm2
16.5 cm2
Answer:
Step-by-step explanation:
Alright, lets get started.
Using the formula for exponential growth,
[tex]y=a(1+r)^x[/tex]
r is given s 1.5 times means the growth rate is 50% growth means r = 0.5
[tex]y=11(1+0.5)^6[/tex]
[tex]y=11*1.5^6[/tex]
[tex]y=11*11.390625[/tex]
[tex]y=125.296875[/tex]
[tex]y=125.30[/tex]
So, the area moss will cover is 125.30 square cm : Answer
Hope it will help :)
Answer:
the answer is c 125.3
There are 24 students in Mrs.Perimeter.If 87 1/2% of them passed their mathematics test,how many students did not pass?
a scrapbook has 4 pages. there are 2 stickers on each page. how many stickers are there
there are stickers total
Plz Help! :)
Which ordered pairs lie on the graph of the exponential function
f(x) = 3(1/4)^x
Select each correct answer.
A. (−2,48)
B. (0,3)
C. (2,3/16)
D. (12,0)
Answer:
A. (−2,48) B. (0,3) C. (2,3/16) Step-by-step explanation:
The given function is
[tex]f(x)=3(\frac{1}{4} )^{x}[/tex]
To find those ordered pairs that lie on the graph, we need to evaluate each of them
A. (−2,48)
[tex]f(-2)=3(\frac{1}{4} )^{-2}=3(4)^{2}=3(16)=48[/tex]
This pair lies on the graph.
B. (0,3)
[tex]f(0)=3(\frac{1}{4} )^{0}=3(1)=3[/tex]
This pair lies on the graph.
C. (2,3/16)
[tex]f(2)=3(\frac{1}{4} )^{2}=3(\frac{1}{16} )=\frac{3}{16}[/tex]
This pair also lies on the graph.
D. (12,0)
[tex]f(12)=3(\frac{1}{4} )^{12}=\frac{3}{16,777,216}[/tex]
This pair doesn't lie on the graph, because it doesn't satisfy the exponential function.
Therefore, the right asnwer are A, B and C.
3/5x-15=6/5x+12
Please solve
Thank u soo muc
A FRIEND GAVE MS.MORRIS A GIFT CARD FOR A LOCAL CAR WASH. THE TABLE SHOWS THE LINEAR RELATIONSHIP OF HOW THE VUALE LEFT ON THE CARD RELATES TO THE NUMBER OF CAR WASHES
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
Answer:
my friend here justin and he is carck at fortnite my guy
Step-by-step explanation:
|-3|-2 ³ + 1/3 ÷ 1/6- 2 × 1/2 - (√4 -6 ÷2)
What is the value of x? show your work
Answer:
The value of x is 7.
Step-by-step explanation:
I got it correct, trust me.
A box of icecream bars cost $1.50 after a 25% discount. What was the original price of the box of ice cream bars?
Answer:
The answer is 2 because you are taking the discounted price and multiplying it by the original price to get your answer to this problem.
Step-by-step explanation:
Need help with 14 and 15 plz due tonight
The fraction 26/5 is between which two numbers?
2 and 3
3 and 4
4 and 5
5 and 6
Which number can be classified as a terminating decimal number?
0.491
0.1257…
none of the above
What is the perimeter of a triangle if the lengths of the sides are 8", 10", and x?
On a chess board, 32 of the squares are white. At the start of a game, the players cover 16 white squares of the board with pieces. In simplest form, what fraction of the white squares has chess pieces?
Half of the white squares on a chess board have pieces on them at the start of a game. This is represented by the simplified fraction 1/2.
To calculate what fraction of the white squares on a chess board has chess pieces at the start of the game, you start by considering the total number of white squares. A chess board consists of 64 squares, half of which are white, giving us a total of 32 white squares. At the start, 16 white squares are covered with pieces. Therefore, the fraction of white squares that have chess pieces is 16 out of 32 (16/32).
To simplify this fraction, you look for the greatest common divisor of both the numerator and the denominator. In this case, both 16 and 32 are divisible by 16. After simplifying, 16 divided by 16 gives you 1, and 32 divided by 16 gives you 2, so the simplest form of the fraction is 1/2.
Simplify the product using the distributive property. (4h+6)(4h-7)
Answer:
the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]
Step-by-step explanation:
The distributive property says that:
[tex]a \cdot (b+c) =a\cdot b+ a\cdot c[/tex]
To find the product:
[tex](4h+6)(4h-7)[/tex]
then;
[tex]4h(4h-7)+6(4h-7)[/tex]
Apply the distributive property we have;
[tex]16h^2-28h+24h-42[/tex]
Combine like terms we have;
[tex]16h^2-4h-42[/tex]
therefore, the product using the distributive property. (4h+6)(4h-7) is, [tex]16h^2-4h-42[/tex]
What two facts can you double to find 8 times 4
1. Solve the absolute value equation, if possible. If there is no solution, explain why.
| 5x + 13| = -7
Alex has 7 pizzas he wants to share equally with 10 friends. How much pizza will each friend receive?
Alex will give each of his friends 7/10 or 0.7 of a pizza when he divides 7 pizzas equally among 10 friends.
Alex has 7 pizzas and wants to share them equally with 10 friends. To find out how much pizza each friend will receive, we can set up a division problem: . This means each person gets 7/10 of a pizza.
Using fractional parts as one method, we can visualize slicing each pizza into 10 equal parts and each friend getting 7 of those slices. Therefore, each person ends up with 7 slices, where each slice is 1/10 of a whole pizza. Hence, every friend gets 7/10 or 0.7 of a pizza when it is divided equally.
Each friend will get 7 tenths of a pizza, or more practically, each friend will receive 0.7 of a pizza.
To solve the problem, we need to divide the total number of pizzas Alex has by the number of friends he wants to share them with.
Alex has 7 pizzas, and he wants to share them equally with 10 friends.
The division of pizzas per friend can be represented by the fraction:
[tex]\[ \text{Pizzas per friend} = \frac{\text{Total pizzas}}{\text{Number of friends}} \][/tex]
[tex]\[ \text{Pizzas per friend} = \frac{7}{10} \][/tex]
[tex]\text{Pizzas per friend} = 0.7[/tex]
2/5 ab What are the factors of the expression? Drag all of the factors of the expression into the box.
devin has 17 quarters, 12 dimes, 18 nickels, and 8 pennies. How much money does he have in change?
Elisa made 0.44 of the free throws she attempted. What is the amount written as a fraction in simplest form??
Oakland has an elevation of 1,639 feet above sea level. Lake enriquillo’s elevation is 149 feet below sea level. What is the difference in altitude between the two locations?
What would the difference in elevation be if the lake had formed 149 feet above sea level?
The difference in elevation if the lake had formed 149 feet above sea level is 1788 feet.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
We have been given that Oakland has an elevation of 1,639 feet above sea level.
And Lake enriquillo’s elevation is 149 feet below sea level.
We have to determine the difference in elevation if the lake had formed 149 feet above sea level.
So the difference in elevation if the lake had formed 149 feet above sea level as
⇒ 1639 - (-149)
⇒ 1639 + 149
⇒ 1788.
Hence, the difference in elevation if the lake had formed 149 feet above sea level is 1788 feet.
Learn more about the Arithmetic operations here:
brainly.com/question/25834626
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These problems they are very har
Multiply.
14⋅25
Express your answer in simplest form.
110
29
320
13
PLEASE HELP ME WILL GIVE BRIALLIST ASAP PLEASE!!!!
Which symbol replaces ? to make the statement true?
4⋅16−16 ? 4⋅[24−2⋅(4+8)]
A.>
B.<
C.=
Answer:
a
Step-by-step explanation:
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which property is shown (18+(-25))+100=18+(-25+100)